# Thread: help bivariate

1. ## help bivariate

Five observations of bivariate data produce the following results, denoted as (xi, yi)for i =1, 2, 3, 4, 5.

(13, 2.7) (13, 4.0) (18, 2.8) (23, 3.3) (23, 2.2)

[Σ x = 90, Σ y = 15.0, Σ x2 = 1720, Σ y2 = 46.86, Σ xy = 264.0.]

The regression line of y on x has gradient −0.06,
and its equation is y= 4.08 - 0.06x

The numbers e1, e2, e3, e4, e5 are defined by
ei = a +bxi −yi for i = 1, 2, 3, 4, 5.

The values of e1, e2 and e3 are 0.6, −0.7 and 0.2 respectively. Calculate the values of e4 and e5.

thanks

2. Originally Posted by gracey
Five observations of bivariate data produce the following results, denoted as (xi, yi)for i =1, 2, 3, 4, 5.

(13, 2.7) (13, 4.0) (18, 2.8) (23, 3.3) (23, 2.2)

[Σ x = 90, Σ y = 15.0, Σ x2 = 1720, Σ y2 = 46.86, Σ xy = 264.0.]

The regression line of y on x has gradient −0.06,
and its equation is y= 4.08 - 0.06x

The numbers e1, e2, e3, e4, e5 are defined by
ei = a +bxi −yi for i = 1, 2, 3, 4, 5.

The values of e1, e2 and e3 are 0.6, −0.7 and 0.2 respectively. Calculate the values of e4 and e5.

thanks
ei = (4.08 - 0.06 xi) - yi.

Just substitute (23, 3.3) and (23, 2.2) to get e4 and e5.

3. thank you sooo much you are absolutely amazing.

4. Originally Posted by gracey
thank you sooo much you are absolutely amazing.
Fantastic, actually. My brother is Amazing .

ps. you're welcome